My son asked me this question this morning, and figured the answer was somewhere on the winter side of the equinoxes in its orbit.
So, what two days (and hours) is the Earth at exactly 93 millions miles away from the Sun’s center, according to this popular notion?
The Earth’s orbit is an ellipse, so that there is a point where we are closest to the Sun (called ‘perihelion’ for peri = close and Helios, the sun-god – Greek mythology). The point where we are furthest away is aphelion.
Dates and distances in 2008:
perihelion: Jan. 2, 147,096,448 km (91,935,280 statute miles)
aphelion: July 4, 152,104,136 km (95,065,090 mi.)
Somewhere between these dates (around March 20 and Oct. 4 perhaps?), the distance will be (very briefly) exactly 93,000,000 mi.
You can get the answer here.
According to timeanddate.com, today.
And that’s the distance from centre to centre. If you want to know how far your head is from the surface of the sun, you’ll have to deduct 436,309 miles (or 436,308 if you’re in Denver).
So at 0000 UTC on Oct 3rd, 2014 the Earth was 149,709,000 km from the Sun. That’s 93,025,000 miles (center to center, not photosphere to sea level I presume). Within rounding error. 
You can play with the Solar System Calculator to find a closer match to 93,000,000 miles.
Well, I couldn’t resist. at 21:30 UTC on October 3rd, the calculator gives the distance as 149,669,000 km, which Google calculates for me as 93,000,004.971 miles.
So there you go, be sure to wave hello to the magic 93,000,000 mile line around 5:30pm East Coast USA time this afternoon!
What a coincidence it’s today of all days. My boy will be thrilled for some ambiguous reason.
Thanks all!
Won’t that depend on your latitude, since the Earth is fatter at the equator?
Not to mention your altitude - and your height.
Well, he was already taking altitude into account since he mentioned that it would be different in Denver.
That is cool. Needless to say, SerenDipity.